6377040 has 120 divisors (see below), whose sum is σ = 22719528. Its totient is φ = 1597440.

The previous prime is 6377009. The next prime is 6377047. The reversal of 6377040 is 407736.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 5588496 = 888^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6376995 and 6377013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6377047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11980 + ... + 12500.

Almost surely, 2^6377040 is an apocalyptic number.

6377040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11359764).

6377040 is an abundant number, since it is smaller than the sum of its proper divisors (16342488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6377040 is a wasteful number, since it uses less digits than its factorization.

6377040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 6377040 is about 2525.2801824748. The cubic root of 6377040 is about 185.4412646461.

The spelling of 6377040 in words is "six million, three hundred seventy-seven thousand, forty".